In the quantum mechanics, l and m values of the
spherical harmonics Y[lm] are the angular momentum and magnetic
momentum numbers. Here we show several spherical harmonics which
have relatively small l values. The method is the same as
the previous section --- express x,y,z by parameters
u and v.

When m is odd, the spherical harmonics contains an
imaginary part which comes from exp(-im phi) term. For m=-1 and 1,
the function becomes as follows:

|Y|^2 can be calculated easily by multiplying Y and its complex
conjugate, and both above become the same function, Y(t)=3/8 pi
sin^2(t). The complex conjugate function of the spherical harmonics
can be given by the relation, (Y[l,m])^* = (-1)^m Y[l,-m].